The global linear stability of compressible flow in the leading-edge region of a swept wing is studied using an iterative eigenvalue method. This method was implemented via a Jacobian-free framework where direct numerical simulations provide computed flow fields as the required input. It has been found that the investigated leading-edge flow is, over a selected range of flow parameters, most unstable to instabilities of the crossflow type. Our results further confirm that convex leading-edge curvature has a stabilizing influence on this flow.
- Global Stability
- Krylov Subspace
- Global Mode
- Sweep Angle
- Hessenberg Matrix
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Tax calculation will be finalised at checkout
Purchases are for personal use onlyLearn about institutional subscriptions
Unable to display preview. Download preview PDF.
Bippes, H.: Basic experiments on transition in three-dimensional boundary layers dominated by crossflow instability. Prog. Aero. Sci. 35, 363–412 (1999)
Saric, W.S., Reed, H.L., White, E.B.: Stability and transition of three-dimensional boundary layers. Annu. Rev. Fluid Mech. 35, 413–440 (2003)
Schlichting, H., Gersten, K.: Boundary Layer Theory. Springer, Heidelberg (2000)
Lin, R.S., Malik, M.R.: On the stability of attachment-line boundary layers. Part 2. The effect of leading edge curvature. J. Fluid Mech. 333, 125–137 (1997)
Mack, C.J., Schmid, P.J., Sesterhenn, J.L.: Global stability of swept flow around a parabolic body: connecting attachment-line and crossflow modes. J. Fluid Mech. 611, 205–214 (2008)
Theofilis, V., Fedorov, A., Obrist, D., Dallmann, U.C.: The extended Görtler-Hämmerlin model for linear instability in the three-dimensional incompressible swept attachment line boundary layer. J. Fluid Mech. 487, 271–313 (2003)
Theofilis, V.: Advances in global linear instability analysis of nonparallel and three-dimensional flows. Prog. Aero. Sci. 39, 249–315 (2003)
Edwards, W.S., Tuckerman, L.S., Friesner, R.A., Sorensen, D.C.: Krylov Methods for the Incompressible Navier-Stokes Equations. J. Comput. Phys. 110, 82–102 (1994)
Sesterhenn, J.: A characteristic-type formulation of the Navier-Stokes equations for high-order upwind schemes. Comput. Fluids 30, 37–67 (2001)
Le Duc, A., Sesterhenn, J., Friedrich, R.: Instabilities in compressible attachment-line boundary layers. Phys. Fluids 28, 044102 (2006)
Sorensen, D.C.: Numerical methods for large eigenvalue problems. Acta Numer. 11, 519–584 (2002)
Mack, C.J., Schmid, P.J.: A preconditioned Krylov technique for global hydrodynamic stability analysis of large-scale compressible flows. J. Comput. Phys. 3, 541–560 (2010)
Editors and Affiliations
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Mack, C.J., Schmid, P.J., Sesterhenn, J. (2010). Global Stability Analysis of Compressible Flow around Swept Wings. In: Dillmann, A., Heller, G., Klaas, M., Kreplin, HP., Nitsche, W., Schröder, W. (eds) New Results in Numerical and Experimental Fluid Mechanics VII. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14243-7_31
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14242-0
Online ISBN: 978-3-642-14243-7